- 4g° + 1000g, where R(g) is in dollars Suppose a product's revenue function is given by R(g) g is units sold. - Find a numeric value for the marginal revenue at 175 units, and record your result in the box below. Answer: MR(175) = $perunit

Q: Find div F and curl F if F(x,y, z) = x2°i+ 4y°x²j+ 2z²yk. div F=|2° + 12 y? x² + 4 z y curl F= 2 z2…

A:

Q: Describe the graph of the equation. r - 12cosri + 5sinsj -k O tis an ellipse in the z = -1 plane,…

A:

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A:

Q: PART III: APPLICATION 5. a and b have magnitudes of 5 and 6, respectively. The angle between them is…

A:

Q: Determine whether the series converges or diverges.

A: Solve the following

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: Solution:

Q: Find the second derivative of the function x2y – 2 = 5x + y

A:

Q: Problem 8 Find the following indefinite integrals: (a) [3r°dr (b) S(3r® +9x² – 12r)dr (c) S(7x-1…

A: topic- indefinite integral ∫xndx=xn+1n+1+C

Q: (2n)! for 1· 3·5 ... (2n – 1).) 2"n! Use the binomial series to find the Maclaurin series for the…

A:

Q: dx 2. o (x-1) 5

A:

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

A:

Q: Ir(t) - u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = cos ti + sin tj + tk, u(t) = j + tk…

A:

Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

Q: dx x* + 4

A:

Q: EXAMPLE 9 Evaluate the integral. In (dr SOLUTION We let u = In(x) because its differential du = dx/x…

A:

Q: y= In e+1

A:

Q: r2 lim cos where k is - 00 - sec?! (A lim tan B lim - cos?- lim 2. 2.

A:

Q: 10 8 10 If f (x) dx=17 and f (x) dx=12, then f (x) dx =5. (A) True B) False

A:

Q: (- 1)"(x + 1)" n! Consider the series E n=0 (a) Find the series' radius and interval of convergence.…

A: We will use Ratio Test for convergence

Q: Calculate the flux of the vector field through the given surface. F = zi + 2xj + 3yk, and S is the…

A:

Q: Evaluate. 1 6 x dx V16 +3x2 0. V19 A) B) 2/19 -8 C) V19 -4 - 2 D) -219 +8

A:

Q: -dx is an improper integral. A) True B) False

A:

Q: Find the average value of the function over the indicated interval.   ​(B) Graph the function and…

A: To find the average value of the function,      fA=1b-a∫abf(x)dxWe have, f(x)=500-90x, a=0, b=2

Q: Use Lagrange multipliers to find the extreme values of the function f(x, y, z) = x² +y? + z2 subject…

A:

Q: Determine wnetner the function Isa linear transrormation. T: R2 - R³, T(x, y) = (x², 3xy, 2y²)…

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 6 cos(t)i +6 sin(t)j+…

A: As we know that; The expression for the curvature; κ=r't×r''tr't3 And The expression for the radius…

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: Evaluate: 3 A 1–x*) 2 + C 3 (1-x*) ² + C --(1-x*) ² +C D 1-x*) 2 + C 3

A:

Q: Determine the vector field of F. F(r, y) = yi – xj

A:

Q: arcsin = ab? x? - Va2- y2: Find y'. 2abe (+0) /a-y 1-y 2ab a 1-y 2ab a /a-y %3D

A: We neee to find derivative of y for the function given below:

Q: For the cruciform in the figure below, the equation is x²y2 - 9x2 – 4y2 = 0, find the equation of…

A: To find the equation of the tangent line for the given curve.

Q: 4. , kr+2{cd= -3

A:

Q: Credited Critical Thinking Problems 1. (Section 8.1) (10 points) In surveying, it is often necessary…

A:

Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: The increase cost is given by: ∫450720C'(x) dx=∫450720300-x3 dx

Q: Solve the system of differential equations x' 4x – 15y ly' 2а — 7у - x(0) = 3, y(0) = 1 x(t) = y(t)…

A: We solve the given problem using method of elimination by use of operator D  .

Q: (b) Using the Power Rule for differentiation, find the derivatives for the following functions: (i)…

A:

Q: Define Euler's number e. Sketch the graphs of the function f(x) = at are the domains and the ranges…

A: answer is in next step

Q: Find y': y = ar cos

A: The given function,  y=ar cosx3

Q: f(t) 3. Find the function f and a number a such that a + dt = 2 sin x for all x greater than zero.…

A: We can solve as follows

Q: Evaluate the integral / (4x + 18y) dx + (27x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

A:

Q: Sketch the region enclosed by y 6x and 4x. Find the area of the region.

A:

Q: 4. a = 20 m [W 30°S] b = 30 m [W 40°N]. Find a - b. %3D %3D

A: We need to find a-b.

Q: Find curl(4z i + 5xj + 9y k). curi (4z i + 5xj + 9y k) = ( i )i + ( i Ok

A: We have to find out the curl

Q: Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel…

A: We need to find points of intersection.

Q: If x=tan , then dr = coso de by trigonometric substitution. (1+x*)½" A True B False

A:

Q: dx Solve the separable differential equation dt and find the particular solution satisfying the…

A:

Q: Find the derivative, dy/dx: y = x² In x3 ý =- 2 1-4 ln x x³ In? x 3. ý = -2 In x – 2x | y = --(- 3…

A:

Q: S- 3 dy 3y - sin –+C 4– 9y2 3 A True B) False ||

A:

Q: dy Given the equation below, find dæ - 51a" + 7a"y + y10 = - 43 dy 172 (15 – 1422y) 29. dæ Now, find…

A: